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Beliebt Rechnen >

derivative of ln(4+ln(x))

Lösung

\frac{d}{d x} (ln (4 + ln (x)))

Lösung

\frac{1}{x ( 4 + ln ( x ) )}

Schritte zur Lösung

\frac{d}{d x} (ln (4 + ln (x)))

Wende die Kettenregel an:

\frac{1}{4 + ln ( x )} \frac{d}{d x} (4 + ln (x))

= \frac{1}{4 + ln ( x )} \frac{d}{d x} (4 + ln (x))

\frac{d}{d x} (4 + ln (x)) = \frac{1}{x}

= \frac{1}{4 + ln ( x )} \cdot \frac{1}{x}

Vereinfache

\frac{1}{4 + ln ( x )} \cdot \frac{1}{x} : \frac{1}{x ( 4 + ln ( x ) )}

= \frac{1}{x ( 4 + ln ( x ) )}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(axln(ax))

\frac{\partial}{\partial x} (a x ln (a x))

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\int 49 y d y

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